Uniform Convergence in B-Duals
Let E be a vector valued sequence space with â-dual Åâã. We consider sufficient conditions on E for the series in a pointwise bounded subset of Åâã to be uniformly convergent over certain subsets of E. The conditions involve gliding hump assumptions on the multiplier space E. Applications to matrix...
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2013
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000300008 |
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oai:scielo:S0716-091720130003000082013-09-02Uniform Convergence in B-DualsSwartz,CharlesLet E be a vector valued sequence space with â-dual Åâã. We consider sufficient conditions on E for the series in a pointwise bounded subset of Åâã to be uniformly convergent over certain subsets of E. The conditions involve gliding hump assumptions on the multiplier space E. Applications to matrix mappings between vector valued sequence spaces are given.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.32 n.3 20132013-09-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000300008en10.4067/S0716-09172013000300008 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| description |
Let E be a vector valued sequence space with â-dual Åâã. We consider sufficient conditions on E for the series in a pointwise bounded subset of Åâã to be uniformly convergent over certain subsets of E. The conditions involve gliding hump assumptions on the multiplier space E. Applications to matrix mappings between vector valued sequence spaces are given. |
| author |
Swartz,Charles |
| spellingShingle |
Swartz,Charles Uniform Convergence in B-Duals |
| author_facet |
Swartz,Charles |
| author_sort |
Swartz,Charles |
| title |
Uniform Convergence in B-Duals |
| title_short |
Uniform Convergence in B-Duals |
| title_full |
Uniform Convergence in B-Duals |
| title_fullStr |
Uniform Convergence in B-Duals |
| title_full_unstemmed |
Uniform Convergence in B-Duals |
| title_sort |
uniform convergence in b-duals |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2013 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000300008 |
| work_keys_str_mv |
AT swartzcharles uniformconvergenceinbduals |
| _version_ |
1718439792415342592 |